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Finding the Fourth Proportional to 2,169, 2,983.50 and 1,906.56

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Solution

The fourth proportional to 2,169, 2,983.50 and 1,906.56 is: 2,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 2,983.50 = 1,906.56 : x
  2. Step 2: Convert to fraction form
    2,169/2,983.50 = 1,906.56/x
  3. Step 3: Cross multiply
    2,169x = 2,983.50 × 1,906.56
  4. Step 4: Simplify right side
    2,169x = 5,688,221.76
  5. Step 5: Solve for x
    x = 5,688,221.76/2,169
  6. Step 6: Final answer
    x = 2,622.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.